A particle is moving vertically in a resistive medium under the influence of gravity - HSC - SSCE Mathematics Extension 2 - Question 10 - 2022 - Paper 1
Question 10
A particle is moving vertically in a resistive medium under the influence of gravity. The resistive force is proportional to the velocity of the particle.
The initi... show full transcript
Worked Solution & Example Answer:A particle is moving vertically in a resistive medium under the influence of gravity - HSC - SSCE Mathematics Extension 2 - Question 10 - 2022 - Paper 1
Step 1
If the particle is initially moving downwards, then its speed will increase.
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Answer
This statement is incorrect. The downward motion will encounter resistive forces that act against the direction of motion, ultimately leading to a decrease in acceleration.
Step 2
If the particle is initially moving downwards, then its speed will decrease.
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Answer
This statement is correct as the resistive force opposes the downward motion, leading to a deceleration until reaching terminal velocity.
Step 3
If the particle is initially moving upwards, then its speed will eventually approach a terminal speed.
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Answer
This statement is true. As the particle moves upward, it will decelerate due to gravity and resistive forces until it reaches a terminal speed.
Step 4
If the particle is initially moving upwards, then its speed will not eventually approach a terminal speed.
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Answer
This statement is incorrect. The upward motion will also encounter resistive forces, and the particle will eventually reach a terminal speed as it slows down.
